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arXiv 1503.00419hep-phnucl-th
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具有两极结构的$Λ(1405)$的光合成

Photoproduction of $Λ(1405)$ with the two-pole structure

Seung-il Nam, Hyun-Kyu Jo

摘要:

我们调查$Λ(1405,1/2^-)\equivΛ^*$光生质子的目标,即$γp\to K^+Λ^*$,明确考虑其两极结构,较高的($Λ^*_H:\,1430\,\mathrm{MeV}$)和较低的($Λ^*_L:\,1390\,\mathrm{MeV}$)质量极的贡献,建议的手征酉模型(ChUM)的方法。为此,我们构造了一个模拟Dalitz过程的二体过程模型$γp\to K^+πΣ$,假设$Λ^*$的质量为$π$和$Σ$的不变质量,即$M_{Λ^*}\sim M_{πΣ}$。我们采用有效的拉格朗日方法与树级玻恩近似,使用规范不变的处方的唯象形状因子。给出了能量和角度依赖关系、$π$ - $Σ$不变质量分布等的数值计算结果,结果表明由ChUM确定的模型参数与实验数据定性吻合,支持了双极结构.此外,在阈值附近的核子共振贡献起着重要的作用来描述的数据。

英文摘要:

We investigate the $Λ(1405,1/2^-)\equivΛ^*$ photoproduction off the proton target, i.e. $γp\to K^+Λ^*$, considering explicitly its two-pole structure, the higher ($Λ^*_H:\,1430\,\mathrm{MeV}$) and lower ($Λ^*_L:\,1390\,\mathrm{MeV}$) mass-pole contributions, suggested by the chiral-unitary model (ChUM) approaches. For this purpose, we construct a two-body process model, which mimics the Dalitz process, $γp\to K^+πΣ$, assuming that the mass of $Λ^*$ as the invariant mass of $π$ and $Σ$, i.e. $M_{Λ^*}\sim M_{πΣ}$. We employ the effective Lagrangian method with the tree-level Born approximation, using the gauge-invariant prescription for the phenomenological form factors. We provide the numerical results for the energy and angular dependences, $π$-$Σ$ invariant-mass distribution, and so on. It turns out that the model parameters determined from ChUM reproduce the experimental data qualitatively well, supporting the two-pole structure. Moreover, the nucleon resonance contribution near the threshold plays an important role to describe the data.

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